Information on Result #678452
Linear OA(4143, 262187, F4, 20) (dual of [262187, 262044, 21]-code), using construction X applied to Ce(20) ⊂ Ce(14) based on
- linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4100, 262144, F4, 15) (dual of [262144, 262044, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4144, 262188, F4, 20) (dual of [262188, 262044, 21]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4143, 141433, F4, 2, 20) (dual of [(141433, 2), 282723, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(4143, 141433, F4, 3, 20) (dual of [(141433, 3), 424156, 21]-NRT-code) | [i] | ||
| 4 | Digital (123, 143, 141433)-net over F4 | [i] | ||
| 5 | Linear OA(4145, 262190, F4, 20) (dual of [262190, 262045, 21]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(4143, 131093, F4, 2, 20) (dual of [(131093, 2), 262043, 21]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4143, 87395, F4, 3, 20) (dual of [(87395, 3), 262042, 21]-NRT-code) | [i] | ||
| 8 | Linear OOA(4143, 26218, F4, 20, 20) (dual of [(26218, 20), 524217, 21]-NRT-code) | [i] | OA Folding and Stacking | |